3980900 has 108 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1214400.

The previous prime is 3980891. The next prime is 3980957. The reversal of 3980900 is 90893.

3980900 = T₁₃ + T₁₄ + ... + T₂₈₇.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84677 + ... + 84723.

Almost surely, 2^3980900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3980900 is an abundant number, since it is smaller than the sum of its proper divisors (7101724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3980900 is a wasteful number, since it uses less digits than its factorization.

3980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 3980900 is about 1995.2192861939. The cubic root of 3980900 is about 158.4870406399.

The spelling of 3980900 in words is "three million, nine hundred eighty thousand, nine hundred".